# Properties

 Label 435344.bb Number of curves $1$ Conductor $435344$ CM no Rank $1$

# Related objects

Show commands: SageMath
sage: E = EllipticCurve("bb1")

sage: E.isogeny_class()

## Elliptic curves in class 435344.bb

sage: E.isogeny_class().curves

LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
435344.bb1 435344bb1 $$[0, 0, 0, -70304, -5940688]$$ $$884736/161$$ $$6993200738521088$$ $$[]$$ $$2066688$$ $$1.7591$$ $$\Gamma_0(N)$$-optimal

## Rank

sage: E.rank()

The elliptic curve 435344.bb1 has rank $$1$$.

## Complex multiplication

The elliptic curves in class 435344.bb do not have complex multiplication.

## Modular form 435344.2.a.bb

sage: E.q_eigenform(10)

$$q + 2q^{5} - q^{7} - 3q^{9} - 3q^{11} - 3q^{17} + 4q^{19} + O(q^{20})$$